基于有限元法的局部损伤悬臂梁的裂纹监测

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By simplified the damaged crack as a rectangle groove, the model of a cracked cantilever beam was established. The natural frequencies and model shapes were computed by the Finite Element Method （FEM） for various crack locations and depths in the cantilever beam, and compared with the experimental values. The result shows that the change of dynamic characteristic on cracked cantilever beam is evident. The natural frequency drops drastically with increasing of the crack depth. The natural frequency is much bigger when the crack is far apart from the fixed ends. The research results provide the theoretical background for health moni- toring and diagnosis of crack in structures.将裂纹简化成矩形凹槽，建立了裂纹损伤的悬臂梁模型，用有限元分析法分别计算了不同深度和不同位置的裂纹悬臂梁固有频率和模态，并与实验结果进行对比。结果表明：裂纹使悬臂梁的动力特性发生明显变化，裂纹深度增加时，悬臂梁的固有频率急剧下降；裂纹离固定端距离越远，悬臂梁的固有频率越大。研究结果为结构裂纹的监测和诊断提供了理论依据。